Using binomial expansion to expand a binomial to the sixth power

Using binomial expansion to expand a binomial to the sixth power

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

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FREE Resource

The video tutorial explains the process of expanding binomials using Pascal's triangle. It covers the relationship between coefficients in binomial expansions and how exponents are applied. The tutorial demonstrates the use of Pascal's triangle to simplify the expansion of binomials, specifically focusing on the expression R + 3S raised to the sixth power. The instructor provides a step-by-step guide to calculating the coefficients and terms, ensuring a clear understanding of the binomial expansion process.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is Pascal's triangle and how is it related to binomial expansion?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the pattern observed in the coefficients of the binomial expansion.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of expanding (R + 3S)^6 using Pascal's triangle.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the coefficients in the binomial expansion?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do the exponents change in a binomial expansion as you increase the power?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the coefficients for the expansion of (R + 3S)^n?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final expanded form of (R + 3S)^6?

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